10c^2-21c=-4c+6

Solution for 10c^2-21c=-4c+6 equation:

Simplifying
10c2 + -21c = -4c + 6

Reorder the terms:
-21c + 10c2 = -4c + 6

Reorder the terms:
-21c + 10c2 = 6 + -4c

Solving
-21c + 10c2 = 6 + -4c

Solving for variable 'c'.

Reorder the terms:
-6 + -21c + 4c + 10c2 = 6 + -4c + -6 + 4c

Combine like terms: -21c + 4c = -17c
-6 + -17c + 10c2 = 6 + -4c + -6 + 4c

Reorder the terms:
-6 + -17c + 10c2 = 6 + -6 + -4c + 4c

Combine like terms: 6 + -6 = 0
-6 + -17c + 10c2 = 0 + -4c + 4c
-6 + -17c + 10c2 = -4c + 4c

Combine like terms: -4c + 4c = 0
-6 + -17c + 10c2 = 0

Factor a trinomial.
(-3 + -10c)(2 + -1c) = 0

Subproblem 1
Set the factor '(-3 + -10c)' equal to zero and attempt to solve:

Simplifying
-3 + -10c = 0

Solving
-3 + -10c = 0

Move all terms containing c to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + -10c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -10c = 0 + 3
-10c = 0 + 3

Combine like terms: 0 + 3 = 3
-10c = 3

Divide each side by '-10'.
c = -0.3

Simplifying
c = -0.3
Subproblem 2
Set the factor '(2 + -1c)' equal to zero and attempt to solve:

Simplifying
2 + -1c = 0

Solving
2 + -1c = 0

Move all terms containing c to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1c = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1c = 0 + -2
-1c = 0 + -2

Combine like terms: 0 + -2 = -2
-1c = -2

Divide each side by '-1'.
c = 2

Simplifying
c = 2
Solution
c = {-0.3, 2}